Eigenstrain induced vibrations of composite plates
Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Adam, C. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2001 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 2001 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer-Verlag, 1965, 148(2001), 1-4 vom: März, Seite 35-53 |
|---|---|
| Übergeordnetes Werk: |
volume:148 ; year:2001 ; number:1-4 ; month:03 ; pages:35-53 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF01183667 |
|---|
| Katalog-ID: |
OLC2030123250 |
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| 520 | |a Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. | ||
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10.1007/BF01183667 doi (DE-627)OLC2030123250 (DE-He213)BF01183667-p DE-627 ger DE-627 rakwb eng 530 VZ Adam, C. verfasserin aut Eigenstrain induced vibrations of composite plates 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. Shear Modulus Composite Plate Transverse Shear Thermal Strain Inelastic Deformation Enthalten in Acta mechanica Springer-Verlag, 1965 148(2001), 1-4 vom: März, Seite 35-53 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:148 year:2001 number:1-4 month:03 pages:35-53 https://doi.org/10.1007/BF01183667 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 148 2001 1-4 03 35-53 |
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10.1007/BF01183667 doi (DE-627)OLC2030123250 (DE-He213)BF01183667-p DE-627 ger DE-627 rakwb eng 530 VZ Adam, C. verfasserin aut Eigenstrain induced vibrations of composite plates 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. Shear Modulus Composite Plate Transverse Shear Thermal Strain Inelastic Deformation Enthalten in Acta mechanica Springer-Verlag, 1965 148(2001), 1-4 vom: März, Seite 35-53 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:148 year:2001 number:1-4 month:03 pages:35-53 https://doi.org/10.1007/BF01183667 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 148 2001 1-4 03 35-53 |
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10.1007/BF01183667 doi (DE-627)OLC2030123250 (DE-He213)BF01183667-p DE-627 ger DE-627 rakwb eng 530 VZ Adam, C. verfasserin aut Eigenstrain induced vibrations of composite plates 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. Shear Modulus Composite Plate Transverse Shear Thermal Strain Inelastic Deformation Enthalten in Acta mechanica Springer-Verlag, 1965 148(2001), 1-4 vom: März, Seite 35-53 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:148 year:2001 number:1-4 month:03 pages:35-53 https://doi.org/10.1007/BF01183667 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 148 2001 1-4 03 35-53 |
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10.1007/BF01183667 doi (DE-627)OLC2030123250 (DE-He213)BF01183667-p DE-627 ger DE-627 rakwb eng 530 VZ Adam, C. verfasserin aut Eigenstrain induced vibrations of composite plates 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. Shear Modulus Composite Plate Transverse Shear Thermal Strain Inelastic Deformation Enthalten in Acta mechanica Springer-Verlag, 1965 148(2001), 1-4 vom: März, Seite 35-53 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:148 year:2001 number:1-4 month:03 pages:35-53 https://doi.org/10.1007/BF01183667 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 148 2001 1-4 03 35-53 |
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10.1007/BF01183667 doi (DE-627)OLC2030123250 (DE-He213)BF01183667-p DE-627 ger DE-627 rakwb eng 530 VZ Adam, C. verfasserin aut Eigenstrain induced vibrations of composite plates 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2001 Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. Shear Modulus Composite Plate Transverse Shear Thermal Strain Inelastic Deformation Enthalten in Acta mechanica Springer-Verlag, 1965 148(2001), 1-4 vom: März, Seite 35-53 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:148 year:2001 number:1-4 month:03 pages:35-53 https://doi.org/10.1007/BF01183667 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_62 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2129 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4700 AR 148 2001 1-4 03 35-53 |
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Eigenstrain induced vibrations of composite plates |
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Eigenstrain induced vibrations of composite plates |
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eigenstrain induced vibrations of composite plates |
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Eigenstrain induced vibrations of composite plates |
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Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. © Springer-Verlag 2001 |
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Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. © Springer-Verlag 2001 |
| abstract_unstemmed |
Summary The paper is concerned with eigenstrain induced small amplitude vibrations of moderately thick composite plates. In case of thermal shock loading such eigenstrains are imposed as thermal strains. Within a multiple field approach, thermal strains, piezoelectrically induced strains, as well as additional fields of strains that are due to inelastic deformations are interpreted as eigenstrains acting in the associated linear elastic background structure. Polygonal simply supported composite plates with three asymmetrically arranged layers in perfect bond are considered. The homogeneous layers consist of dissimilar linear elastic isotropic materials. The Mindlin-Reissner kinematic assumptions are implemented separately to each layer. The continuity of the transverse shear stress across the interfaces is prescribed according to Hooke's law. For plates composed of layers with a uniform ratio of mass density to shear modulus and a common Poisson's ratio the lateral deflection can be calculated independently from the in-plane displacements. It is shown that the lateral deflection is governed by a boundary value problem of the fourth order. Alternatively, by neglecting the longitudinal as well as rotatory inertia the complex problem reduces to the simpler case of a homogenized shear-deformable plate with effective stiffness, a corresponding set of boundary conditions and effective eigenstrain resultants. The theory is applied to rectangular simply supported composite plates of various dimensions. © Springer-Verlag 2001 |
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